CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A string of length 1 m is fixed at one end with a bob of mass 100 g and the string makes (2π) rev s1 around a vertical axis through a fixed point. The angle of inclination of the string with the vertical is

A
tan1(58)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
tan1(35)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
cos1(35)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
cos1(58)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D cos1(58)
FBD of the bob:


Tcosθ=mg ... (1)
Tsinθ=mrω2 ... (2)
From the diagram, radius of circular path r=lsinθ
Tsinθ=m(lsinθ)ω2
T=mlω2 ... (3)
cosθ=mgmlω2 (from (1) and (3))
ω=2πf=2π×2π rad/s
θ=cos1101×(2π×2π)2
θ=cos1(58)

flag
Suggest Corrections
thumbs-up
10
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Relative
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon